위치벡터

위치벡터
[size=150]평면에서 한 점 [math]\large \mathrm{O}[/math]를 고정하면 임의의 벡터 [math]\large \overrightarrow{a}[/math]에 대하여 [math]\large \overrightarrow{a}=\overrightarrow{\mathrm{OA}}[/math]가 되도록 [math]\large \mathrm{A}[/math]의 위치를 하나로 정할 수 있다. [br]역으로 임의의 점 [math]\large \mathrm{A}[/math]에 대하여 [math]\large\overrightarrow{\mathrm{OA}}=\overrightarrow{a} [/math]인 벡터 [math]\large \overrightarrow{a}[/math]가 하나로 정해진다. [br]즉 시점을 한 점 [math]\large\mathrm{O} [/math]로 고정하면 벡터 [math]\large \overrightarrow{\mathrm{OA}}[/math]와 한 점 [math]\large\mathrm{A} [/math]는 일대일로 대응한다.[br][br][img]data:image/png;base64,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[/img][br][br]이처럼 한 점 [math]\large \mathrm{O}[/math]를 시점으로 하는 벡터 [math]\large \overrightarrow{\mathrm{OA}}[/math]를 점 [math]\large\mathrm{O} [/math]에 대한 점 [math]\large\mathrm{A} [/math]의 [b][color=#ff0000]위치벡터[/color][/b]라 한다. 일반적으로 위치벡터의 시점 [math]\large \mathrm{O}[/math]는 좌표평면의 원점으로 잡는다. 하지만, 반드시 원점일 필요는 없으며, 경우에 따라 다른 점을 시점으로 간주하여 문제를 해결해야 할 때도 있다. [/size]
[size=150]이제 벡터 [math]\large \overrightarrow{\mathrm{AB}}[/math]를 점 [math]\large \mathrm{A}[/math]와 점 [math]\large \mathrm{B}[/math]의 위치벡터를 이용하여 나타내어 보자.[br][br]그림과 같이 두 점 [math]\large \mathrm{A,\; B}[/math]에 대하여[br]  [math]\large \overrightarrow{\mathrm{AB}}=\overrightarrow{\mathrm{OB}}-\overrightarrow{\mathrm{OA}}[/math][br]이므로 두 점 [math]\large \mathrm{A,\;B} [/math]의 위치 벡터를 각각 [math]\large \overrightarrow{a},\; \overrightarrow{b}[/math]라 하면 [math]\large \overrightarrow{\mathrm{AB}}[/math]를 다음과 같이 나타낼 수 있다.[br]  [math]\large \overrightarrow{\mathrm{AB}}=\overrightarrow{b}-\overrightarrow{a}[/math][br][br][img]data:image/png;base64,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[/img][br][/size]
위치벡터 개념 확인하기
[size=150]아래 지오지브라 애플릿에 벡터 도구를 이용하여 점 [math]\large \mathrm{D}[/math]에 대한 점 [math]\large \mathrm{A,\;B,\;C,\;E,\;F}[/math]의 위치벡터를 나타내시오.[/size]
[size=150]아래 지오지브라 애플릿과 같이 좌표평면 위에 네 벡터 [math]\large \overrightarrow{a},\; \overrightarrow{b},\;\overrightarrow{c},\;\overrightarrow{d}[/math]에 대하여[br]  [math]\large \overrightarrow{a}=\overrightarrow{\mathrm{OA}}, \; \overrightarrow{b}=\overrightarrow{\mathrm{OB}}, \; \overrightarrow{c}=\overrightarrow{\mathrm{OC}},\; \overrightarrow{d}=\overrightarrow{\mathrm{OD}}[/math][br]가 되도록 네 점 [math]\large \mathrm{A,\; B,\;C,\;D}[/math]의 위치벡터를 나타내시오.[/size][br](점의 이름의 표시는 펜 도구를 이용하시오.)

Information: 위치벡터